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Finding the Fourth Proportional to 794.68, 1,189.14 and 656.44

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Solution

The fourth proportional to 794.68, 1,189.14 and 656.44 is: 982.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.68 : 1,189.14 = 656.44 : x
  2. Step 2: Convert to fraction form
    794.68/1,189.14 = 656.44/x
  3. Step 3: Cross multiply
    794.68x = 1,189.14 × 656.44
  4. Step 4: Simplify right side
    794.68x = 780,599.06
  5. Step 5: Solve for x
    x = 780,599.06/794.68
  6. Step 6: Final answer
    x = 982.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.